Question

Cards were drawn from a regular deck of 52 for a 100 times, replacing it each time after drawing. The data about the number is as follows.

$\begin{array}{cc}\text{Number}& \text{Frequency}\\ \text{A}& 10\\ 2& 8\\ 3& 5\\ 4& 6\\ 5& 8\\ 6& 5\\ 7& 10\\ 8& 11\\ 9& 8\\ 10& 7\\ \text{J}& 6\\ \text{Q}& 7\\ \text{K}& 9\end{array}$

(i) Find the probability of drawing a face card ;

(ii) Find the probability of drawing a number card with a prime number on it . [2MARKS]

Answer 1

Concept: [1 Mark]
Solution: [0.5Mark each]

Number of times a face card was drawn = 6 + 7 + 9 = 22
Probability of drawing a face card
$=\frac{22}{100}=0.22$
Number of times a number card with a prime number on it was drawn
$=8+5+8+10=31$
Probability of drawing a number card with a prime number
$=\frac{31}{100}=0.31$